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Finding the Fourth Proportional to 17,640.96, 26,462 and 8,871.08

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Solution

The fourth proportional to 17,640.96, 26,462 and 8,871.08 is: 13,306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.96 : 26,462 = 8,871.08 : x
  2. Step 2: Convert to fraction form
    17,640.96/26,462 = 8,871.08/x
  3. Step 3: Cross multiply
    17,640.96x = 26,462 × 8,871.08
  4. Step 4: Simplify right side
    17,640.96x = 234,746,518.96
  5. Step 5: Solve for x
    x = 234,746,518.96/17,640.96
  6. Step 6: Final answer
    x = 13,306.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.